Problem 11. (a) Use Newton's method with the starting point x) = (1, 1) for finding a solution of the system x4+ x3 =1 (21 - 1)2 + 17 =1. Determine analytically the result of the first iteration x(1) = (x,,x, )T. Give all details of the computation. Put a frame around your answer. (b) Find analytically ALL solutions the system of nonlinear equations and indicate them on a carefully drawn graph. (c) Draw a careful graphical interpretation of this fixed point iteration, showing the system of nonlinear equations and indicating the initial point x and point x(1)